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Robustness Properties of Nonlinear Systems:Absolute Stability of Linear Systems
Robustness Properties Nonlinear Systems Absolute Stability Linear Systems
2015/9/29
Robustness Properties of Nonlinear Systems:Absolute Stability of Linear Systems.
A Nonlinear Reconstruction Algorithm from Absolute Value of Frame Coefficients for Low Redundancy Frames
Nonlinear Reconstruction Algorithm Absolute Value of Frame Coefficients Low Redundancy Frames
2015/9/29
In this paper we present a signal reconstruction algorithm from absolute value of frame coefficients that requires arelatively low redundancy. The basic idea is to use a nonlinear embedding of the inp...
Equivalence of Reconstruction from the Absolute Value of the Frame Coefficients to a Sparse Representation Problem
frames nonlinear processing sparse representation
2015/9/29
The purpose of this note is to prove, for real frames, that signal reconstruction from the absolute value ofthe frame coefficients is equivalent to solution of a sparse signal optimization problem, na...
Absolute continuity of the best Sobolev constant of a bounded domain
Absolute continuity Lipschitz continuity p-Laplacian Rayleigh quotient Sobolev best constants
2012/6/7
Let $\lambda_{q}:=\inf{\Vert\nabla u\Vert_{L^{p}(\Omega)}^{p}/\Vertu\Vert_{L^{q}(\Omega)}^{p}:u\in W_{0}^{1,p}(\Omega)\setminus{0}} $, where $\Omega$ is a bounded and smooth domain of $\mathbb{R}^{N},...
Absolute continuity, Interpolation and the Lyapunov order
Nevanlinna-Pick interpolation representations Hardy algebra absolute continuity Lyapunov order
2011/8/24
Abstract: We extend our Nevanlinna-Pick theorem for Hardy algebras and their representations to cover interpolation at the absolutely continuous points of the boundaries of their discs of representati...
On absolute convergence of multiple Fourier integrals
Fourier integral Fourier multiplier Hardy-Steklov
2011/2/25
New sufficient conditions for representation of a func-tion of several variables as an absolutely convergent Fourier integral are obtained in the paper.
The mixed Littlewood conjecture for pseudo-absolute values
Littlewood conjecture measure rigidity linear forms in logarithms
2011/1/17
In this paper we prove the mixed Littlewood conjecture for a p−adic absolute value and any pseudo-absolute value with bounded ratios. More precisely we show that if p is a prime and D is a pseud...
Modular absolute decomposition of equidimensional polynomial ideals
Modular absolute decomposition equidimensional polynomial ideals
2011/2/25
In this paper, we present a modular strategy which describes key properties of the absolute
primary decomposition of an equidimensional polynomial ideal defined by polynomials with rational coefficie...
Physical Measure and Absolute Continuity for One-Dimensional Center Direction
Physical Measure Absolute Continuity One-Dimensional Center Direction
2011/1/17
For a class of partially hyperbolic Ck, k > 1 diffeomorphisms with circle center leaves we prove existence and finiteness of physical (or Sinai-Ruelle-Bowen) measures, whose basins cover a full Lebesg...
Absolute continuity of the spectrum of the periodic Schrödinger operator in a layer and in a smooth cylinder
spectrum the periodic Schrö dinger operator layer smooth cylinder
2010/11/11
We consider the Schr\"odinger operator $H = -\Delta + V$ in a layer or in a $d$-dimensional cylinder. The potential $V$ is assumed to be periodic with respect to some lattice. We establish the absolu...
Absolute continuity under flows generated by SDE with measurable drift coefficient
Stochastic differential equation strong solution density estimate
2010/12/14
We consider the Itˆo SDE with non-degenerate diffusion coefficient and measurable drift
coefficient. Under the condition that the gradient of the diffusion coefficient and the divergences of the...
Local Property of Absolute Weighted Mean Summability of Fourier Series
Local property Fourier series absolute summability H¨older’s inequality Minkowski’s inequality
2009/6/16
We obtain a general theorem on a local property of j T jk summability of factored
Fourier series generalizing some previous result due to Rhoades and Savas [5]. Another
result concerning j T jk of F...
H. Bor, Factors for Absolute Nörlund Summability
N¨orlund summability infinite series sequences summability factors
2009/6/16
In this paper, a general theorem dealing with j N; pn jk summability factors has been
proved. This theorem also includes some known results.
Absolute Minimizer in Convex Programming by Exponential Penalty
Convexity minimax problems penalty methods nonuniqueness optimal trajectory convergence
2009/1/13
We consider a nonlinear convex program. Under some general hypotheses, we prove that approximate solutions obtained by exponential penalty converge toward a particular solution of the original convex ...
Application of multiple-criteria decision in the absolute and relative measures makings of social capital
Measure of social sciences Social capital
2010/9/14
In the last decade, social capital has been changed to one of the fundamental subjects, which is considerable in the world’s academic and investigative coteries. Social capital is the collection of no...